Equations of Lines and Planes

Which line contains point G and is perpendicular to line EF?

• line FG

• line DH

• line BF

Which plane contains point G and is parallel to plane ADH?

• plane BCG

• plane DCG

• plane EFG

Are these lines parallel, perpendicular, or neither?

y = (-1/2)x + 1

y = (1/2)x - 5

• Parallel

• Perpendicular

• Neither

What type of equation defines the following plane given by: 3x + 5y + 2z - 13 = 0

• parametric equation

• vector equation

• scalar equation

In the equation of a plane given by: 3x + 5y + 2z - 13 = 0,

which vector below would be a normal to the plane?

• [3, 5, 2]

• [3, 0, -2]

• [5, 2, -13]

• [3, -5, 2]

Find the non-parametric form of vector equation, and Cartesian equation of the plane passing through the point (2, 3, 6) and parallel to the straight lines \frac{x-1}{2}=\frac{y+1}{3}=\frac{z-3}{1} \ and \frac{x+3}{2}=\frac{y-3}{-5}=\frac{z+1}{-3}

If a line is found to be perpendicular to two planes, then the two planes are said to be _____________ .

• parallel to each other

• orthogonal to each other

• no relationship at all

• A
• B
• C
• D